What is the answer to 2/3 =(x-5)/(58-x) ?

The answer to 2/3 =(x-5)/(58-x) is x= 131/5

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2/3 =(x-5)/(58-x)

\frac{2}{3} = \frac{x - 5}{58 - x}

x = \frac{131}{5}

Decimal Notation

x = 26.2

Solution steps

\frac{2}{3} = \frac{x - 5}{58 - x}

Cross multiply

116 - 2 x = 3 x - 15

Move

116

to the right side

- 2 x = 3 x - 131

Move

3 x

to the left side

- 5 x = - 131

Divide both sides by

- 5

x = \frac{131}{5}

Verify Solutions

Find undefined (singularity) points:

x = 58

Combine undefined points with solutions:

x = \frac{131}{5}

t, s = 2 \frac{d}{t}

\frac{2}{3 c - 2} = 2 + c

\frac{z + ( 10 )}{( z )} = 6

\frac{x}{12} = \frac{4}{x}

d, m = \frac{g}{d} + 3

What is the answer to 2/3 =(x-5)/(58-x) ?
The answer to 2/3 =(x-5)/(58-x) is x= 131/5
Solve for x: 2/3 =(x-5)/(58-x)
The solution is x= 131/5